two days at busch gardens willamsburg & 3 days at Universal Stuids Orlando cost $420, while 4 days at Busch gardens & 2 days at Universal cost $472. What is the cost per day at each park

The cost of each park per day are:

Busch gardens: $80.45 per day

Universal Studios: $81.86 per day

Explanation:

To solve this, first, we have to use the ratio of days given to calculate the specific amounts for each park. this is calculated thus;

a. 2 days at Busch gardens and 3 days at Universal = $420

Cost ratio of Busch gardens to Universal = 2:3. meaning that out of the cost in 5 parts, Busch gardens takes 2 parts, while Universal takes 3 parts

Therefore actual prices are;

Busch gardens; 2/5 * 420 = $168 (2 days)

Universal studios; 3/5 * 420 = $252 (3 days)

The same calculation is done for the second statement

Busch gardens; 4/6 * 427 = $314.7 (4 days)

Universal studios; 2/6 * 472 = $157.3 (2 days)

Next, let us add the total number of days and amount for each park;

Busch gardens; 2 days = $168; 4 days; $314.7

∴ 2 days + 4 days = 6 days = 168 + 314.7 = $482.7

Universal studios; 3 days = $252; 2 days = $157.3

∴ 3 days + 2 days = 5 days = 252 + 157.3 = $409.3

Finally to find the cost per day, let us divide the total cost by the total number of days;

Busch gardens;

6 days = $482.7

∴ 1 day = 482.7 : 6 = $80.45

Universal studio;

5 days = $ 409.3

∴ 1 day = 409.3 : 5 = $81.86.